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7 March, 11:27

The owner of a health-food store sells dried apples for $1.30 per quarter-pound, and dried apricots for $1.60 per quarter-pound. How many pounds of each must he mix together to get 20 lb of a mixture that sells for $1.51 per quarter-pound?

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  1. 7 March, 14:26
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    6 pounds of dried apples and 14 pounds of dried apricots

    Explanation:

    A = dried apples

    B = dried apricots

    1.3A + 1.6B = 1.51 x 20 = 30.2

    A + B = 20

    A = 20 - B

    Replace A:

    1.3 (20 - B) + 1.6B = 30.2

    26 - 1.3B + 1.6B = 30.2

    0.3B = 30.2 - 26 = 4.2

    B = 4.2 / 0.3 = 14

    A = 6
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